摘要
在二阶矩限制下,获得了Hajek-Renyi型不等式,并给出了结果在PA,NA,Lr-混合序列场合下的应用.推广了Prakasa Rao关于PA序列的结果.
In this paper, we obtain the Hajek-Renyi type inequality under second mement conditions, some applications for the PA, NA sequences and the Lr-mixingale sequences are given. It generalizes the Prakasa Rao's results for positively associated sequences.
出处
《应用数学学报》
CSCD
北大核心
2005年第2期227-235,共9页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10271001号)资助项目.
关键词
二阶矩
限制
混合序列
不等式
PA
Hajek-Renyi型不等式
Hajek-Renyi type inequality, almost sure convergence, positively associated sequences, negatively associated sequences, Lr-mixingale sequences